Search Results - Numerical methods for eigenvalue problems for boundary value problems involving PDEs
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1
Authors: et al.
Source: Communications on Applied Mathematics and Computation. 7:663-688
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, two-scale, Error bounds for boundary value problems involving PDEs, finite element, augmented subspace method, partial differential equation, eigenvalue problem, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
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2
Authors: et al.
Source: Advances in Computational Mathematics. 50
Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Asymptotic distributions of eigenvalues in context of PDEs, eigenvalue distributions, spectral method in time, QZ decomposition, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, matrix diagonalisation, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), KdV equations (Korteweg-de Vries equations), Bessel and generalised Bessel polynomials, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, 65M70, 65L15, 65F15, 33C45, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Mathematics - Numerical Analysis, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Legendre dual Petrov-Galerkin methods
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3
Authors:
Source: SIAM Journal on Numerical Analysis. 62:998-1019
Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Multigrid methods, domain decomposition for boundary value problems involving PDEs, finite element discretization, multiple and clustered eigenvalues, Rate of convergence, degree of approximation, Parallel numerical computation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, PDE eigenvalue problems, preconditioned Jacobi-Davidson method, overlapping domain decomposition, FOS: Mathematics, Preconditioners for iterative methods, Mathematics - Numerical Analysis, 0101 mathematics
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Access URL: http://arxiv.org/abs/2203.06327
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4
Authors: et al.
Source: SIAM Journal on Scientific Computing. 47:A374-A402
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Error bounds for boundary value problems involving PDEs, 65N12, 65N25, 65N30, 65N50, 35P30, p-Laplacian, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, adaptive finite element method, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, \(p\)-Laplacian, FOS: Mathematics, Mathematics - Numerical Analysis, Quasilinear elliptic equations with \(p\)-Laplacian, first eigenvalue, a posteriori error estimator
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5
Authors:
Source: Numerical Methods for Partial Differential Equations. 41
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Variational methods applied to PDEs, Error bounds for boundary value problems involving PDEs, complex regions, Boundary value problems for PDEs of mixed type, error estimation, fourth-order problems, Spectral, collocation and related methods for boundary value problems involving PDEs, mixed formulation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, spectral-Galerkin approximation, Higher-order elliptic equations
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6
Authors:
Source: SIAM Journal on Scientific Computing. 46:A3067-A3093
Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, FOS: Computer and information sciences, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, finite element method, Schrödinger equation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, coarse spaces, Computational Engineering, Finance, and Science (cs.CE), domain decomposition, preconditioning, FOS: Mathematics, iterative methods, 65N25, 65F15, 65N30, 65F10, 65N22, 65N55, 65F08, Preconditioners for iterative methods, Mathematics - Numerical Analysis, Computer Science - Computational Engineering, Finance, and Science
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Access URL: http://arxiv.org/abs/2311.08757
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7
Authors:
Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Dec2023, Vol. 103 Issue 12, p1-20. 20p.
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8
Authors:
Source: Computers & Mathematics with Applications. 106:18-26
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Estimates of eigenvalues in context of PDEs, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, computer-assisted proofs, eigenvalue evaluation, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, system of partial differential equations, Nonlinear boundary value problems for linear elliptic equations, norm of inverse operators, FOS: Mathematics, Mathematics - Numerical Analysis, rigorous numerical computations, 0101 mathematics, Spectral Theory (math.SP), Analysis of PDEs (math.AP), 65G20, 65N30, 35J25
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Access URL: http://arxiv.org/abs/1910.02200
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9
Authors:
Source: Journal of Computational Mathematics. 42:1714-1742
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, fixed quadrature points, 02 engineering and technology, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, high-dimensional eigenvalue problem, machine learning, numerical integration, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Acceleration of convergence in numerical analysis, tensor neural network, 65N30, 65N25, 65L15, 65B99
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Access URL: http://arxiv.org/abs/2207.02754
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10
Authors: et al.
Source: Journal of Computational Physics. 525:113762
Subject Terms: Stefan problems, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, fluid-solid interaction, phase change, multiphase flow, one-fluid model, eulerian-Lagrangian, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, turbulent flows, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Boundary element methods for initial value and initial-boundary value problems involving PDEs, immersed boundary method, Boundary element methods applied to problems in fluid mechanics, meshing, heat transfer
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11
Authors: et al.
Source: Journal of Computational Physics. 524:113738
Subject Terms: a posteriori error estimates, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Error bounds for boundary value problems involving PDEs, adaptive algorithm, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, fourth-order singularly perturbed (eigenvalue) problems, boundary layers, mixed virtual element method
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12
Authors:
Source: Mathematics of Computation. 93:111-161
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, finite element method, eigenvalues, Elliptic operators and their generalizations, Estimates of eigenvalues in context of PDEs, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 35P15, 65N25, 01 natural sciences, Mathematics - Spectral Theory, Fractals, Mathematics - Analysis of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Spectral Theory (math.SP), Analysis of PDEs (math.AP)
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Access URL: http://arxiv.org/abs/2104.09444
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13
Authors: LANZARA, Flavia
Source: Calcolo. 35:63-92
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Variational methods for second-order elliptic equations, numerical examples, 0209 industrial biotechnology, intermediate operators, second-order linear elliptic equation, Green function, 0103 physical sciences, eigenvalues, Estimates of eigenvalues in context of PDEs, 02 engineering and technology, 01 natural sciences, Dirichlet problem
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14
Authors:
Source: Computational Methods in Applied Mathematics. 24:887-908
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, symmetric, two-scale, Error bounds for boundary value problems involving PDEs, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, 65N15, 65N25, 65N30, 65N50, finite element, partial differential equation, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, postprocessed
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Access URL: http://arxiv.org/abs/2205.15524
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15
Authors:
Source: Numerische Mathematik. 71:253-273
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Boundary value problems for second-order elliptic equations, finite element, piecewise linear approximations, second-order elliptic eigenvalue problems, Estimates of eigenvalues in context of PDEs, eigenfunctions, quadrature formula, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, 01 natural sciences
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16
Authors: Maria Vasilyeva
Source: Journal of Computational and Applied Mathematics. 457:116275
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Applications of graph theory, Random graphs (graph-theoretic aspects), Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs on graphs and networks (ramified or polygonal spaces), 01 natural sciences, discrete network model, graph upscaling, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, multiscale method, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, GMsFEM, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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17
Authors:
Source: Journal of Computational Physics. 521:113538
Subject Terms: periodic structure, Numerical optimization and variational techniques, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, FOS: Physical sciences, General topics in linear spectral theory for PDEs, PDE constrained optimization (numerical aspects), 01 natural sciences, topological photonic crystal, spectral bandgap, Optimization and Control (math.OC), 0103 physical sciences, FOS: Mathematics, Semidefinite programming, Waves and radiation in optics and electromagnetic theory, optimal design, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, Mathematics - Optimization and Control, Variational methods for eigenvalues of operators, Physics - Optics, Optics (physics.optics)
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Access URL: http://arxiv.org/abs/2407.19699
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18
Authors:
Source: Journal of Computational and Applied Mathematics. 115:151-167
Subject Terms: Finite element methods, Nonstandard coupling conditions, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Error bounds for boundary value problems involving PDEs, Applied Mathematics, 0211 other engineering and technologies, nonstandard boundary conditions, Estimates of eigenvalues in context of PDEs, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, Vector valued functions, vector-valued functions, numerical example, Computational Mathematics, error estimation, second-order elliptic eigenvalue problems, finite element methods, 0101 mathematics, Eigenvalue problems
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19
Authors: Kaori Nagatou
Source: Computing. 63:109-130
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, finite element, verification method, Algorithms with automatic result verification, Estimates of eigenvalues in context of PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, elliptic eigenvalue problems, numerical results, 0101 mathematics, 01 natural sciences, inclusion sets
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20
Authors: Christian Wieners
Source: Computing. 59:29-41
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Error bounds for boundary value problems involving PDEs, Interval and finite arithmetic, eigenvalues, fourth-order elliptic differential equations, Estimates of eigenvalues in context of PDEs, inclusion intervals, error bounds, numerical results, 01 natural sciences, Boundary value problems for higher-order elliptic equations, clamped plate problem, boundary homotopy method, 0101 mathematics, interval analysis
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